What is the Least Common Multiple of 57501 and 57510?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 57501 and 57510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57501 and 57510, than apply into the LCM equation.

GCF(57501,57510) = 9
LCM(57501,57510) = ( 57501 × 57510) / 9
LCM(57501,57510) = 3306882510 / 9
LCM(57501,57510) = 367431390

Least Common Multiple (LCM) of 57501 and 57510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57501 and 57510. First we will calculate the prime factors of 57501 and 57510.

Prime Factorization of 57501

Prime Factorization of 57510

Now multiplying the highest exponent prime factors to calculate the LCM of 57501 and 57510.

LCM(57501,57510) = 3⁴ × 6389¹ × 2¹ × 5¹ × 71¹
LCM(57501,57510) = 367431390